An experiment consists of tossing a die and then flipping a coin once if the number on thedie is odd. If the number on the die is even, the coin is flipped twice. Using the notation 3H,for example, to denote the outcome that the die comes up 3 and then the coin comes uphead, and 4HT to denote the outcome that the die comes up 4 followed by a head and thena tail on the coin, construct a tree diagram to show the 18 elements of the sample space S.

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Answered: An experiment consists of tossing a die…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

a committe of four people is to be chosen from a nine member group to represent the group on an upcoming event. how many ways can this be done?
researcher at a large department store finds that 25% of customers are coerced into buying an item. The researcher also finds that when coerced to buy an item, the shopper returns the item for refund 30% of the time. If a shopper is not coerced into buying an item then that item is returned 2.5% of the time. i) Construct a fully labelled tree diagram to represent the above information. Hint: Firstly use C to represent the event that a shopper is coerced into buying an item and then use R to represent the event that an item is returned
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4H, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the elements of the sample space S. List down all the elements.
An urn contains red, yellow, and green balls. We will select 6 balls from the urn with replacement, and we will record the sequence (in order) of colors that we obtain. A typical sequence could be GYYGRG. How many outcomes are possible?
A role-playing game uses a die that has eighteight sides numbered 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma and 81, 2, 3, 4, 5, 6, 7, and 8. How many branches would a tree diagram have that shows the way two eighteight-sided die could be rolled? The tree diagram would have nothingm branches.
Perform a decision algorithm to count the number of possible outcomes. Professor Tough’s final exam consists of two parts. The multiple choice section contains 10 questions, each with 4 choices and the true false section contains 10 questions, each with two choices. How many different answer keys could Professor Tough make?
Use a tree diagram to find all permutations of the set B = {a, b, c, d}
This tree diagram shows the tossing of an unfair coin followed by drawing one bead from a cup containing 11 red (R), 3 yellow (Y) and 2 blue (B) beads. For the coin, Find P(tossing a Head on the coin AND a Red bead). (Enter your answer as a fraction.)
Using a tree diagram and the multiplication principle answer the following question: In how many ways can 3 coins turn up- heads H, or tails T – if combined outcomes such as (HTH), (HHT), and (THH) are considered different?
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?
(4) Carol picks out a birthday gift for her younger brother and decides to have it gift- wrapped by the store. She has a choice of 3 wrapping papers (plaid, stripes, or checked). She must then decide on a ribbon. She has 4 choices for ribbon (red, green, blue, or yellow). a) Determine the number of ways that Carol can have the gift wrapped by using a tree diagram. b) Determine the number of ways that Carol can have the gift wrapped by using the multiplication principle.
use a tree diagram that shows how many ways a nickel a dime and a quarter can be flipped, determine how many ways you can get exactly one tail.

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